Question

the figure of ∠fwk is shown. what information should be given to prove that ∠fwh≅∠gwk? ∠fwg≅∠hwk ∠fwg is acute. ∠hwk≅∠gwh ∠fwg and ∠hwk are complementary.

Explanation:

Step1: Recall angle - congruence rules

We know that if \(\angle FWG\cong\angle HWK\), then \(\angle FWG+\angle GWH=\angle HWK + \angle GWH\) (by the addition property of equality for angles).

Step2: Observe the composed angles

\(\angle FWG+\angle GWH=\angle FWH\) and \(\angle HWK+\angle GWH=\angle GWK\). So, if \(\angle FWG\cong\angle HWK\), then \(\angle FWH\cong\angle GWK\).

Answer:

\(\angle FWG\cong\angle HWK\)